Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Ba...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/9850924 |
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| _version_ | 1832550363645870080 |
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| author | Said Melliani Abdelati El Allaoui Lalla Saadia Chadli |
| author_facet | Said Melliani Abdelati El Allaoui Lalla Saadia Chadli |
| author_sort | Said Melliani |
| collection | DOAJ |
| description | The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results. |
| format | Article |
| id | doaj-art-9c11e8d8e2394f96a43e0afc0bfbd1e2 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9c11e8d8e2394f96a43e0afc0bfbd1e22025-02-03T06:06:54ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/98509249850924Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear PerturbationsSaid Melliani0Abdelati El Allaoui1Lalla Saadia Chadli2Sultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoSultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoSultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoThe aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results.http://dx.doi.org/10.1155/2020/9850924 |
| spellingShingle | Said Melliani Abdelati El Allaoui Lalla Saadia Chadli Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations International Journal of Differential Equations |
| title | Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations |
| title_full | Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations |
| title_fullStr | Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations |
| title_full_unstemmed | Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations |
| title_short | Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations |
| title_sort | boundary value problem of nonlinear hybrid differential equations with linear and nonlinear perturbations |
| url | http://dx.doi.org/10.1155/2020/9850924 |
| work_keys_str_mv | AT saidmelliani boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations AT abdelatielallaoui boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations AT lallasaadiachadli boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations |